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Finding the Fourth Proportional to 8,691.82, 13,038.34 and 3,497.72

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Solution

The fourth proportional to 8,691.82, 13,038.34 and 3,497.72 is: 5,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.82 : 13,038.34 = 3,497.72 : x
  2. Step 2: Convert to fraction form
    8,691.82/13,038.34 = 3,497.72/x
  3. Step 3: Cross multiply
    8,691.82x = 13,038.34 × 3,497.72
  4. Step 4: Simplify right side
    8,691.82x = 45,604,462.58
  5. Step 5: Solve for x
    x = 45,604,462.58/8,691.82
  6. Step 6: Final answer
    x = 5,246.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.